Answer: the equation of the line is [tex]y= -4[/tex]
Step-by-step explanation:
Alright, lets get started.
The given two points are :
[tex](x_{1} , y_{1})=(4,-4)[/tex]
[tex](x_{2} , y_{2})=(-6,-4)[/tex]
The equation of line passing from two points is:
[tex]y-y_{1} =\frac{y_{2}- y_{1} }{x_{2}-x_{1} } \times(x-x_{1})[/tex]
Plugging the values of points
[tex]y+4=\frac{-4+4}{-6-4}\times(x-4)[/tex]
[tex]y+4=0\times (x-4)[/tex]
[tex]y+4=0[/tex]
Subtracting 4 from both sides.
[tex]y= -4[/tex]
Hence , the equation of the line is [tex]y= -4[/tex].........Answer
